(1) Department of Management Science and Engineering, School of Economics and Management, Southeast University, Nanjing, 210096, China;(2) School of Management Science and Engineering, Nanjing University, Nanjing, 210093, China
Abstract:
The Douglas–Peaceman–Rachford–Varga operator splitting methods (DPRV methods) are attractive methods for monotone variational inequalities. He et al. [Numer. Math. 94, 715–737 (2003)] proposed an inexact self-adaptive operator splitting method based on DPRV. This paper relaxes the inexactness restriction further. And numerical experiments indicate the improvement of this relaxation.